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4^x=65536 How to get x manually

User Toasty
by
8.0k points

2 Answers

3 votes
65536 is also 4^8

To solve:
4^x=4^8
The exponent values can be set equal now that they share the same base.

Answer: x=8
User Pavel Vladov
by
7.9k points
1 vote
This is an exponential equation, you set each term to the same base (4)

Since 65536 is 4⁸

You write 4ˣ = 4⁸

Of course the exponents are equal so...

x = 8
User Thephatp
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7.8k points